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133004300 = 2252111371131
BaseRepresentation
bin1111110110101…
…11110000001100
3100021021022121012
413323113300030
5233022114200
621110424352
73203342432
oct773276014
9307238535
10133004300
1169094110
12386620b8
132172b090
1413942d52
15ba23a35
hex7ed7c0c

133004300 has 144 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 43680000.

The previous prime is 133004293. The next prime is 133004323. The reversal of 133004300 is 3400331.

It is a happy number.

133004300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015235 + ... + 1015365.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2133004300 is an apocalyptic number.

133004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

133004300 is an abundant number, since it is smaller than the sum of its proper divisors (213473524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133004300 is a wasteful number, since it uses less digits than its factorization.

133004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 133004300 is about 11532.7490218074. The cubic root of 133004300 is about 510.4523731974.

Adding to 133004300 its reverse (3400331), we get a palindrome (136404631).

The spelling of 133004300 in words is "one hundred thirty-three million, four thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 71 100 110 130 131 142 143 220 260 262 275 284 286 325 355 524 550 572 650 655 710 715 781 923 1100 1300 1310 1420 1430 1441 1562 1703 1775 1846 2620 2860 2882 3124 3275 3406 3550 3575 3692 3905 4615 5764 6550 6812 7100 7150 7205 7810 8515 9230 9301 10153 13100 14300 14410 15620 17030 18460 18602 18733 19525 20306 23075 28820 34060 36025 37204 37466 39050 40612 42575 46150 46505 50765 72050 74932 78100 85150 92300 93010 93665 101530 102311 120913 144100 170300 186020 187330 203060 204622 232525 241826 253825 374660 409244 465050 468325 483652 507650 511555 604565 930100 936650 1015300 1023110 1209130 1330043 1873300 2046220 2418260 2557775 2660086 3022825 5115550 5320172 6045650 6650215 10231100 12091300 13300430 26600860 33251075 66502150 133004300